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Finding the Fourth Proportional to 538.28, 742.02 and 421.64

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Solution

The fourth proportional to 538.28, 742.02 and 421.64 is: 581.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.28 : 742.02 = 421.64 : x
  2. Step 2: Convert to fraction form
    538.28/742.02 = 421.64/x
  3. Step 3: Cross multiply
    538.28x = 742.02 × 421.64
  4. Step 4: Simplify right side
    538.28x = 312,865.31
  5. Step 5: Solve for x
    x = 312,865.31/538.28
  6. Step 6: Final answer
    x = 581.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.